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Monica [59]
3 years ago
5

Betty Baker is making her famous chocolate-chocolate chip cake. She uses 2/3 cup of sugar to make a 1/4 sheet cake. How much sug

ar would she need to make a full sheet cake?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Answer: 3 1/3

Step-by-step explanation:

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A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.
alex41 [277]

The height of the container that will be able to minimize the cost will be 3.08cm.

<h3>How to calculate the height?</h3>

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

= 84x² + 246.4/x

We'll use the first derivative. This will be:

dC/dx = 168x - 246.4/x²

x = 1.14.

Therefore, the height will be:

h = 4/x² = 4/1.14² = 3.08cm

In conclusion, the height is 3.08cm.

Learn more about height on:

brainly.com/question/1557718

4 0
2 years ago
Let n be the middle number of three consecutive integers. write an expression for the sum of these integers.
mash [69]
(n-1)+n+(n+1)
With n as the middle of 3 integers, n-1 is the integer just before n and n+1 is the integer just after n.
8 0
3 years ago
Read 2 more answers
The scatterplot shows pairs of final exam grades (x, y) for a group of students.
emmainna [20.7K]
The answer is D. There is a positive correlation between the hours studied and grades earned.
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3 years ago
Find the length of the shorter leg of a right triangle if the longer leg is 7 feet more than the shorter leg and the hypotenuse
gtnhenbr [62]
You can use the pythagorean theorem.
a^{2} + b^{2} = c^{2}
Now lets write out what we know.

Shorter leg = x
Longer Leg = x + 7
Hypotenuse = x - 7

a^{2} + b^{2} = c^{2}
Now solve for x
x^{2} + (x+7)^{2} = (2x-7)^{2}
x = 28
Since you know x = 28, which is the shorter leg, you can solve for the rest by just plugging in 28 where x is located. For instance, longer let is x + 7 so 
28 + 7 = 35





6 0
3 years ago
Long Division 3 Divided by888
aksik [14]
The answer you will get is 296
3 0
3 years ago
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